Described are three activities and variations that can help students to understand the concept of place value. Allowing students to use concrete materials and helping them to bridge the gap between manipulatives and paper-and-pencil tasks are emphasized. (KR)

Discussed is the idea that, if students are allowed to use calculators when doing classwork, they should be allowed to use calculators on tests. Examples of calculator-active items are presented that are designed to accurately assess students' learning. (KR)

Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)

Argues that creativity is the essence of true learning and explores its role in art education. Studies the creative process at work in several artists. Considers David Perkins' work on the creative process, identifying characteristics of a creative environment. Concludes creativity is more akin to problem solving than to spontaneous and mysterious…

Eye-movement registration was used to examine the influence of the semantic complexity of addition and subtraction word problems on response time and eye-fixation patterns of 10 high-ability and 10 low-ability second graders. Data provide evidence of the crucial role of semantic factors in word problem solving. (SLD)

The ability of 378 elementary school students (aged 9-12 years) in Israel to extract "lawfulnesses" (invariants) from experience and to react to error by reexamining the problem and finding the error was studied on a self-paced inference task. Results are discussed in terms of postfailure reflectivity and postfailure impulsivity. (SLD)

Explains the components of a library and information skills curriculum and integrated instructional model that was developed to help students solve information problems. The six steps include (1) task definition, (2) information seeking strategies, (3) location and access, (4) use of information, (5) synthesis, and (6) evaluation. (LRW)

Describes the Knowledge Gateway Project at Wenatchee (Washington) High School, which combines computer technology with a problem-solving approach to teach communication and information processing skills to at-risk students. Networked Macintosh workstations are described; and the use of electronic mail to communicate both within a local area…

The NCTM Standards present a picture of classroom instruction different from present practice in secondary schools. Presented are three instructional practices: (1) presenting open-ended problems, (2) communication of ideas, and (3) probing for diversity and recommendations for restructuring mathematics instruction based on the California…

Presented are three methods to enrich the mathematics classroom. The first introduces an activity allowing students to discover the law of sines. The second gives eight distance-rate-time problems of value for their counterintuitive or elegant solutions. The third poses multiple answer questions that promote student interaction and communication.…

Presented is a teacher's guide for a hands-on activity challenging students to develop problem-solving behaviors by exploring the construction of a right-cylinder of maximum volume from an m x n sheet of metal. Reproducible worksheets leading students through the activity are provided. (MDH)

From the equality of the ratios of the surface areas and volumes of a sphere and its circumscribed cylinder, the exploration of theorems relating the ratios of surface areas and volumes of a sphere and other circumscribed solids in three dimensions, and analogous questions relating two-dimensional concepts of perimeter and area is recounted. (MDH)

Describes the structure and organization of a research and training program focusing on urban poverty and social welfare policy. Explains that the program trains undergraduates in the theory and empirical analysis of issues in poverty research. Notes that students must develop and present a plan of service to a local social service agency in an…

A mathematics achievement test was taken by 132 U.S. and 110 Japanese fifth graders. Scores were higher for the Japanese, and relatively better for computation than problem solving. The reverse was true for the U.S. students. Results are discussed in terms of amount and kind of exposure to mathematics. (SLD)

A general common-sense model of interactive teaching is presented, including conscious and partly or totally unconscious decision making. The model assumes that the teacher wishes to choose actions that are as appropriate as possible to the situation and goals of teaching. Knowledge and emotional variables influence the process. (SLD)